Talk:De Moivre's formula

De Moivre's formula is actually true for all complex numbers x and all real numbers n, but this requires careful extension of several functions to the complex plane. <-- Loisel I'm not so sure this makes any sense.

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Thanks for pointing that out; n has to be an integer. x can be complex however, since Euler's formula

e^(ix) = cos(x) + i sin(x)

works for all complex x. --AxelBoldt

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Is the function described as a [multivalued function]? in fact a periodic function?

Yes it is. It is 2π periodic, because sin and cos are. --AxelBoldt